三维Minkowski空间中的Bertrand伙伴D-曲线
Bertrand Partner D-Curves in Minkowski 3-space
摘要：
本文研究三维Minkowski空间中位于曲面上的曲线的Bertrand曲线的概念。在Darboux框架下，我们定义了这些曲线为Bertrand D-曲线，并给出了它们的特征。我们还找到了这些曲线的测地曲率、法曲率和测地挠率之间的关系。在Minkowski三维空间中，Bertrand D-曲线的定义和刻画在某些特殊情况下也包含Bertrand曲线的定义和刻画。
英文摘要：
In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in Minkowski 3-space. By considering the Darboux frame, we define these curves as Bertrand D-curves and give the characterizations for those curves. We also find the relations between the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves. Furthermore, we show that in Minkowski 3-space, the definition and the characterizations of Bertrand D-curves include those of Bertrand curves in some special cases.
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